Please help??? An explanation would help too and the answers

Answer: The value of x is 184.

Step-by-step explanation:

According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.

Now calculating the value of x for the given pair of similar​ triangles.

According to the given figure:

24 × (2x - 8) = 45 × (x + 8)

(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)

48x - 192 = 45x + 360

48x - 45x = 360 + 192

3x = 552

x = 184

Thus, the value of x is 184.

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

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Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

Answer:

hope it is helpful to you

Answer:

4(7a+3)

Step-by-step explanation:

28a+12

take common

4 is the common number for both the terms because it divides 28 and 12 exactly.

4(7a+3)

Answer:

The smallest possible value of k is 656

Step-by-step explanation:

The given width of the Eiffel Tower, w₁ = 328 feet

The given height of the Eiffel Tower, h₁ = 984 feet

The width of the space Maria can use on the shirt, w₂ = 0.75 feet

The height of the space she can use on the shirt, h₂ = 1.5 feet

We get;

The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3

The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2

Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower

Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt

Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower

Mathematically

k = h₁/h₂

∴ k = 984/1.5 = 656

The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.

Answer:

Step-by-step explanation:

This is an isosceles right triangle as two legs are congruent.

The angle measure of both acute angles (B and C) is same:

Answer:

Total income= $100

Step-by-step explanation:

Giving the following information:

Hourly rate=$10

To calculate the total income, we need to use the following formula:

Total income= hourly income*number of hours

For example, for 10 hours shoveling in a week:

Total income= 10*10

Total income= $100

Answer:

It would be 12. Do you need me to explain or are you good?

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

Answer:

4 Matches

Step-by-step explanation:

According To the Question,

Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]

Thus, Total Matches = 52 / 13 ⇔ 4 Matches

Answer:

yes...

Step-by-step explanation:

Answer:

.........................

Answer:

68

Step-by-step explanation:

4 out of 12 are blue.

Then 8 out 12 are not blue.

8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.

2/3 of the birds are not blue.

2/3 of 102 = 2/3 * 102 = 68

Answer: 68

Answer:

Option A is correct

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

----------------------------

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

-----------------------------

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

Answer:

9 is the answer

Step-by-step explanation:

You will multiply 3x3 and 9x1 it will have the least common denominator

Answer:

The answer is D (6).

hope this helps!

Answer:

[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:

[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]

Solving for [tex]x[/tex]:

[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]

Substitute [tex]x=11[/tex] to solve for angle C:

[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]

Answer:

49 inches

Step-by-step explanation:

To obtain the height, h of the ramp ;; we use trigonometry ;

h = opposite and the value of the hypotenus :

Sin θ = opposite / hypotenus

Sin 22 = h / 132

h = 132 * sin 22

h = 132 * 0.3746065

h = 49.44

Height of ramp = 49 inches

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]

The second moment is..

[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]

[tex]\sqrt{20-4^2}=2[/tex]

Answer:

5,120

Step-by-step explanation:

5x4=20

20×4=80

80x4=320

320x4=1,280

1,280x4=5,120

Hope this helps! :)

Answer:

Step-by-step explanation:

first term a=5

common ratio r=20/5=4

[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]

Answer:

x = sqrt(33)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + x^2 = 7^2

16 + x^2 = 49

Subtract 16 from each side

x^2 = 49-16

x^2 = 33

Take the square root of each side

sqrt(x^2) = sqrt(33)

x = sqrt(33)

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]

[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]

_________

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Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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Answer:

You got it! B. x ≤ -7 or x ≥ 2

Step-by-step explanation:

In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.

The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.

Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.

So, the final answer is B. x ≤ -7 or x ≥ 2.

*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).

Answer:

16

Step-by-step explanation:

4+8/2*(6-3) = 4+8/2*3 = 4+4*3 = 4+12 =16

Answer:

18

Step-by-step explanation:

4+8 /2 *(6-3)

=4+8/2 * 3

=(4+8)*3/2

=12*3/2

=36/2

=18

Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]

Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]

In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]

Answer:767

Step-by-step explanation:

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft